- AutorIn
- Michael Jung
- Todor D. Todorov
- Titel
- On the Convergence Factor in Multilevel Methods for Solving 3D Elasticity Problems
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:swb:ch1-200601510
- Quellenangabe
- Preprintreihe des Chemnitzer SFB 393, 04-13
- ISSN
- 1619-7186
- Abstract (EN)
- The constant gamma in the strengthened Cauchy-Bunyakowskii-Schwarz inequality is a basic tool for constructing of two-level and multilevel preconditioning matrices. Therefore many authors consider estimates or computations of this quantity. In this paper the bilinear form arising from 3D linear elasticity problems is considered on a polyhedron. The cosine of the abstract angle between multilevel finite element subspaces is computed by a spectral analysis of a general eigenvalue problem. Octasection and bisection approaches are used for refining the triangulations. Tetrahedron, pentahedron and hexahedron meshes are considered. The dependence of the constant $\gamma$ on the Poisson ratio is presented graphically.
- Andere Ausgabe
- Link: http://www.tu-chemnitz.de/sfb393/preprints.html
- Freie Schlagwörter (EN)
- linear elasticity problem, strengthened Cauchy-Schwarz-Buniakowski inequality
- Klassifikation (DDC)
- 510
- Normschlagwörter (GND)
- Eigenwertproblem, Finite-Elemente-Methode, Mehrgitterverfahren
- Publizierende Institution
- Technische Universität Chemnitz, Chemnitz
- URN Qucosa
- urn:nbn:de:swb:ch1-200601510
- Veröffentlichungsdatum Qucosa
- 01.09.2006
- Dokumenttyp
- Preprint
- Sprache des Dokumentes
- Englisch